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Finding the Third Proportional to 8,410,896 and 13,176,972

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Solution

The third proportional to 8,410,896 and 13,176,972 is: 20,643,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410,896 : 13,176,972 = 13,176,972 : x
  2. Step 2: Convert to fraction form
    8,410,896/13,176,972 = 13,176,972/x
  3. Step 3: Cross multiply
    8,410,896x = 13,176,972 × 13,176,972
  4. Step 4: Simplify right side
    8,410,896x = 173,632,591,088,784
  5. Step 5: Solve for x
    x = 173,632,591,088,784/8,410,896
  6. Step 6: Final answer
    x = 20,643,768.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.